π‘ˆπ‘ π‘’ 𝑦+π‘₯=3 π‘›π‘œπ‘‘ 𝑦=-π‘₯+3

Mathematics

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Answer

Umeuliza swali namba 4(b), ambalo linataka utengeneze jedwali la thamani kwa mlinganyo y+x=3y + x = 3, ukizingatia kutotumia fomu iliyofanyiwa marekebisho y=βˆ’x+3y = -x + 3.

Step-by-step solution

3 steps
  1. Chagua thamani za xx.

    Tutachagua thamani za xx kutoka -2 hadi 2 ili kupata picha kamili ya mstari.

  2. Hesabu thamani za yy kwa kutumia mlinganyo y+x=3y + x = 3.

    • Kwa x=βˆ’2x = -2: y+(βˆ’2)=3β€…β€ŠβŸΉβ€…β€Šy=3+2β€…β€ŠβŸΉβ€…β€Šy=5y + (-2) = 3 \implies y = 3 + 2 \implies y = 5.
    • Kwa x=βˆ’1x = -1: y+(βˆ’1)=3β€…β€ŠβŸΉβ€…β€Šy=3+1β€…β€ŠβŸΉβ€…β€Šy=4y + (-1) = 3 \implies y = 3 + 1 \implies y = 4.
    • Kwa x=0x = 0: y+(0)=3β€…β€ŠβŸΉβ€…β€Šy=3y + (0) = 3 \implies y = 3.
    • Kwa x=1x = 1: y+(1)=3β€…β€ŠβŸΉβ€…β€Šy=3βˆ’1β€…β€ŠβŸΉβ€…β€Šy=2y + (1) = 3 \implies y = 3 - 1 \implies y = 2.
    • Kwa x=2x = 2: y+(2)=3β€…β€ŠβŸΉβ€…β€Šy=3βˆ’2β€…β€ŠβŸΉβ€…β€Šy=1y + (2) = 3 \implies y = 3 - 2 \implies y = 1.
  3. Tengeneza jedwali la thamani.

    xx-2-1012
    yy54321

    Huu ndio jedwali la thamani kwa mlinganyo y+x=3y + x = 3.

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